A simple formula is presented for calculating the approximate partition function of a hindered internal rotational mode of a polyatomic molecule. The formula gives useful accuracy over the whole range from harmonic oscillator to hindered rotator to free rotator
A simple analytical approximation for the vibrational partition function of diatomic systems
β Scribed by A.S. Saakyan; B.S. Butayev; V.P. Spiridonov
- Publisher
- Elsevier Science
- Year
- 1986
- Tongue
- English
- Weight
- 308 KB
- Volume
- 123
- Category
- Article
- ISSN
- 0009-2614
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β¦ Synopsis
Approximate
analytical expressions for the evaluation of the partition function of an anharmonic oscillator characterized by the spectroscopic energy formula E, = hc[w,(n + f)-oex,( n + i)'] have been suggested. By using these expressions partition functions for a set of representative diatomic molecules were calculated in the temperature range 300-2000 K. A comparison is made of the results thus obtained with those based on a direct summation of the Boltzmann factors over vibrational levels.
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